4L 8s

This is the minor chromatic scale of Diminished temperament. Its period of 300¢ (~6:5) is divided into L s s, making a universally proper scale, but the harmonic entropy minimum for it is not particularly low.

0/4			0
1/28			42.857
	6/164		43.902
	5/136		44.118
	4/108		44.449
	3/80		45
	2/52		46.154
	3/76		47.368
	4/100		48
	5/124		48.387
	6/148		48.649
	7/172		48.837
	8/196		48.98
	9/220		49.091
1/24			50
	5/116		51.724
	4/92		52.174
	3/68		52.941
	2/44		54.5455
		5/108	55.556
	3/64		56.25
	4/84		57.143
	5/104		57.692
	6/124		58.0645
	7/144		58.333
	8/164		58.537
	9/184		58.696
	10/204		58.8235
	11/224		58.929
	12/244		59.016
			300/(2+pi)
1/20			60
			300/(2+e)
	7/136		61.765
	6/116		62.069
	5/96		62.5
	4/76		63.158
	3/56		64.286
			300/(3+phi)
		5/92	65.217
	2/36		66.667
		7/124	67.742
		5/88	68.182
	3/52		69.4615
	4/68		70.588
	5/84		71.429
	6/100		72
	7/116		72.414
	8/132		72.727
	9/148		72.973
	10/164		73.146
	11/180		73.333
	12/196		73.49
	13/212		73.585
	14/228		73.684
	15/244		73.7705
	16/260		73.864
	17/276		73.913
	18/292		73.973
	19/308		74.026
1/16			75
	10/156		76.923
	9/140		77.143
	8/124		77.419
	7/108		77.778
	6/92		78.261
	5/76		78.947
		9/136	79.412
	4/60		80
			300/(2+sqrt(3))
		7/104	80.769
	3/44		81.818
		8/116	82.759
			300/(2+hpi)
	5/72		83.333
			300/(2+pi/2)
		12/172	83.721
	7/100		84
2/28			85.714
	11/152		86.842
	9/124		87.097
	7/96		87.5
	5/68		88.235
	8/108		88.889
	11/148		89.096
3/40			90
	7/92		91.304
4/52			92.308
1/12			100